## Illustration of the problem
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## numerical results
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# Discretization of the non-uniform isotropic heat equation
In general, the non-uniform isotropic heat equation is as following
## Mesh
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## Results
To simplify the question, the heat equation is solved in two-dimensions (x-y) by assuming that the z-axis is homogeneous. Following is part of the running results in 4-threads:
## Temperature distribution
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## 8-threads
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+The colors stand for different cores.
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# References
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